Triangular Norm-Based Measures and Games with Fuzzy Coalitions: 10 - Rilegato
Libro 1 di 12: Theory and Decision Library C
Sinossi
The concept of a value of a coalitional game, in the spirit of R.J. Aumann and L.S. Shapley, is extended to the case of games with fuzzy coalitions, providing heuristically meaningful insights into the game theoretical context, which have some impact on balance and equilibria analysis in a co-operative environment. Using the suggestive and philosophical power of the concept of fuzzy sets introduced by L.A. Zadeh, this text aims to develop the mathematical machinery of triangular norm-based measures, i.e. valuations preserving binary operations induced by triangular norms on [0, 1 ]. These results show the existence of Aumann-Shapley values for large classes of games with fuzzy coalitions satisfying certain differentiability conditions, and allow the extension of the domain of such values to games with crisp coalitions, and the application to real life situations such as rate problems for services in bulk.
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Contenuti
Introduction. I. Triangular Norm-Based Tribes. II. Triangular Norm-Based Measures. III. Too-Measures. IV. Games with Fuzzy Coalitions. V. Extensions of the Diagonal Value. VI. Related Topics and Applications. Bibliography. Index.
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Book by Butnariu D Klement Erich Peter
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Triangular Norm-Based Measures and Games with Fuzzy Coalitions; Theory and Decision Library C, 10;
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TRIANGULAR NORM~BASED MEASURES and GAMES with FUZZY COALITIONS, Theory And Decision Library C.; Both Author`s Gift Inscription + Signed Letter *
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Kluwer Academic Publishers, Various Locations * * * * *, 1993
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